SOLUTION: factor completely 3x^3-81

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Question 84423This question is from textbook Algebra 2
: factor completely 3x^3-81This question is from textbook Algebra 2

Answer by tutorcecilia(2144) About Me  (Show Source):
You can put this solution on YOUR website!
%283x%5E3-81%29
%28%283%29%28x%5E3-27%29%29 [factor out the (3)]
%28%283%29%28x-3%29%28x%5E2%2B3x%2B3%5E2%29%29 [factor the perfect cube]
%28%283%29%28x-3%29%28x%5E2%2B3x%2B9%29%29 [check by multiplying the factors]